unizg Search

Ph. D. Mirna Rodić, Assoc. Prof.

Department

Department of Fundamental Natural and Engineering sciences

 Personal data

  • Born in 1975 in Split.


 Web links

  • http://bib.irb.hr/lista-radova?autor=274982


 Academic education

  • 2001 – BSc degree in mathematics on Faculty of Science - Department of Mathematics, University of Zagreb: teacher of mathematics and informatics
  • 2003 – BSc degree in mathematics on Faculty of Science - Department of Mathematics, University of Zagreb: engineer of mathematics (computer science)
  • 2006 – MSc degree in mathematics on Faculty of Science - Department of Mathematics, University of Zagreb, dissertation: Multidimensional logarithmic means (advisor: academician Josip Pečarić)
  • 2008 – PhD degree in mathematics on Faculty of Science - Department of Mathematics, University of Zagreb, dissertation: Means of Cauchy-type and related results (advisor: academician Josip Pečarić)


 Employment and titles

  • 2001.-2009. – junior researcher - assistant, Faculty of Textile Technology, University of Zagreb
  • 2009.-2010. - junior researcher - senior assistant, Faculty of Textile Technology, University of Zagreb
  • 2010.-2016. - assistant professor, Faculty of Textile Technology, University of Zagreb
  • 2016.-today - associate professor, Faculty of Textile Technology, University of Zagreb


 Scientific specialisation and research stays abroad

  • 14.-27.5.2014. Universidade da Madeira, Funchal, Portugal (mobility; lecture: „Golden section in mathematics, nature and art“)


 Teaching activity

  • Undergraduate studies Textile Technology and Engineering: Descriptive geometry, Descriptive geometry D
  • Undergraduate studies Textile and Fashion Design: Descriptive geometry A
  • Graduate studies Textile Technology and Engineering: Mathematics 2
  • Postgraduate scientific studies Textile Science and Technology: Selected topics in Mathematics, Selected Topics in Mathematics (in english)


 Mentorship

  • Mentor for 21 undergraduate thesis
  • Mentor for students work awarded with Rector's Award:
    Marina Cesarec: Izrada islamskih geometrijskih uzoraka pomoću gereh pločica u računalnom programu Adobe Illustrator, 2016.


 Research activity

  • Natural sciences, mathematics, mathematical analysis


 Scientific-professional work

  • 15 scientific papers
  • 1 chapter/paper in scientific book
  • 12 presentations on international conferences
  • Reviewer for 8 international scientific mathematical journals.
  • 2011-2013. member of editorial/technical board of International interdisciplinary journal TEDI


 List of key scientific papers

  • Đ. Pečarić, J. Pečarić, M. Rodić: On a Jensen-type inequality for generalized f-divergences and Zipf-Mandelbrot law, Mathematical Inequalities & Applications, Volume 22, Number 4 (2019), 1463–1475.
  • J. Pečarić, M. Rodić: Uniform treatment of Jensen type inequalities II, Mathematical Reports 21 (71), 3 (2019), 289-310.
  • Đ. Pečarić, J. Pečarić, M. Rodić: About the sharpness of the Jensen inequality, Journal of Inequalities and Applications (2018) 2018:337, 12 pages.
  • M. Krnić, J. Pečarić, M. Rodić: More accurate Jensen-type inequalities for signed measures characterized via Green function and applications, Turkish Journal of Mathematics (2017) 41(6):1482-1496.
  • R. Mikić, J. Pečarić, M. Rodić: Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure, Journal of Inequalities and Applications (2017) 2017:4, 25 pages.
  • J. Pečarić, I. Perić, M. Rodić Lipanović: Uniform treatment of Jensen type inequalities, Mathematical reports (Bucur.) 16(66), 2 (2014), 183-205.
  • R. Jakšić, J. Pečarić, M. Rodić Lipanović: Reverses of the Jensen-Type Inequalities for Signed Measures, Abstract and Applied Analysis, vol. 2014, Article ID 626359, 11 pages, 2014., doi:10.1155/2014/626359.
  • A. R. Khan, J. Pečarić, M. Rodić Lipanović: n-exponential convexity for Jensen-type inequalities, Journal of Mathematical Inequalities, 7 (2013) , 3; 313-335.
  • J. Pečarić, I. Perić, M. Rodić Lipanović: Integral representations of generalized Whiteley means and related inequalities, Mathematical Inequalities and Applications, Vol.12, No.2 (2009), 295-309.


 Projects (collaborator)

  • 2001-2002: „Inequalities and Applications“ (Z-projects, Ministry of science, education and sports; no. 117006; chief researcher: academician Josip Pečarić)
  • 2003-2006: „Inequalities and Applications“ (Z-projects, Ministry of science, education and sports; no. 0117014; chief researcher: academician Josip Pečarić)
  • 2007-2014: „General Inequalities and Applications” (Z-projects, Ministry of science, education and sports; no. 117-1170889-0888; chief researcher: academician Josip Pečarić)
  • 2014-2018: „Inequalities and Applications“ (HRZZ-project, no. 5435, chief researcher: academician Josip Pečarić)


 Work in scientific and professional associations

  • Croatian mathematical society (member)
  • Croatian society for geometry and graphics (member)

 

Membership in scientific and organizational committies:

  • President of the Organizational Committee: Mathematical Inequalities and Applications 2018, Conference in honor of Academician Josip Pečarić on the occasion of his 70th birthday

 

 Public contribution (popularization of science):

  • „Znanstveni krugovi“, HTV1, 10.10. 2017.

Ph. D. Mirna Rodić, Assoc. Prof.